Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
12.04.1940
E-mail: ,
Website: http://sa.cs.msu.su/staff/bratus Keywords: optimal control for systems under stochastic forces; problems of spectral optimization; optimal control in elliptic systems; mathematical modeling in biology; stability in nonconservative problems.
Subject:
Problem of spectral optimization for elastic systems and its application to the problems of optimal design of structures was investigated. Solution of some Gamilton–Jacoby–Bellman equation which appears in problems of optimal control of systems under stochastic forces was obtained. Mathematical investigation of Ziegler paradox in mechanics of nonconservative systems was done. Mathematical model of interactions of pollution and environment was obtained.
Main publications:
Bratus' A. S. Condition of extremum for eigenvalues of elliptic boundary-value problems // J. Optimiz. Theory Appl., 1991, 68(3), 432–436.
Bratus' A. S., Myshkis A. D. Extremum problems for Laplacian eigenvalues with free boundary // Nonlinear Analysis. Theory, Methods and Application, 1993, 19(9), 815–831.
Bratus' A. S. On various cases of instability for elastic nonconservative systems with damping // Int. J. Solid Structures, 1993, 30(24) 3431–3441.
Bratus' A. S., Posvyanskii V. P. The optimum shape of a bending beam // J. Appl. Math. Mech., 2000, 64(3), 993–1004.
Bratus' A. S., Dimentberg M. F. Bounded parametric control of random vibrations // Proc. R. Soc. Lond, 2000, 456, 2351–2363.
ISTINA